東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Topics in uniform approximation of c...

Bucur, Ileana.

Linked to FindBook

Google Book

Amazon

博客來

Topics in uniform approximation of continuous functions /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Topics in uniform approximation of continuous functions // Ileana Bucur, Gavriil Paltineanu.
Author:	Bucur, Ileana.
other author:	Paltineanu, Gavriil.
Published:	Cham, Switzerland :Birkhäuser, : c2020.,
Description:	x, 140 p. ;24 cm.
[NT 15003449]:	Approximation of continuous functions on compact spaces -- Approximation of continuous functions on locally compact spaces -- Approximation of continuous differentiable functions -- Approximations theorems in locally convex lattices.
Subject:	Functional analysis. -
ISBN:	9783030484118

Topics in uniform approximation of continuous functions /
Bucur, Ileana.

Topics in uniform approximation of continuous functions /Ileana Bucur, Gavriil Paltineanu. - Cham, Switzerland :Birkhäuser,c2020. - x, 140 p. ;24 cm. - Frontiers in mathematics,1660-8046.

Includes bibliographical references and index.

Approximation of continuous functions on compact spaces -- Approximation of continuous functions on locally compact spaces -- Approximation of continuous differentiable functions -- Approximations theorems in locally convex lattices.

This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass theorems obtained by Korovkin, Bohman, Stone, Bishop, and Von Neumann are also included. In turn, the book presents the approximation of continuous functions defined on a locally compact space (the functions from a weighted space) and that of continuous differentiable functions defined on ¡n. In closing, it highlights selected approximation theorems in locally convex lattices of (M) type. The book is intended for advanced and graduate students of mathematics, and can also serve as a resource for researchers in the field of the theory of functions.

ISBN: 9783030484118EUR27.99Subjects--Topical Terms:

531838
Functional analysis.

LC Class. No.: QA331 / .B83 2020

Dewey Class. No.: 515.7

Topics in uniform approximation of continuous functions /
LDR:01873cam a2200217 a 450 001 2259245
003 OCoLC
005 20220704022750.0
008 220427s2020 sz b 001 0 eng d
020 $a 9783030484118 $q (pbk.) : $c EUR27.99
020 $z 9783030484125 $q (ebook)
035 $a (OCoLC)1152424525
040 $a YDX $b eng $c YDX $d LQU $d S2H $d OCLCO $d OCLCF $d OCLCO
050 # 0 $a QA331 $b .B83 2020
082 0 4 $a 515.7 $2 23
100 1 $a Bucur, Ileana. $3 3526023
245 1 0 $a Topics in uniform approximation of continuous functions / $c Ileana Bucur, Gavriil Paltineanu.
260 # $a Cham, Switzerland : $b Birkhäuser, $c c2020.
300 $a x, 140 p. ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8046
504 $a Includes bibliographical references and index.
505 0 # $a Approximation of continuous functions on compact spaces -- Approximation of continuous functions on locally compact spaces -- Approximation of continuous differentiable functions -- Approximations theorems in locally convex lattices.
520 # $a This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass theorems obtained by Korovkin, Bohman, Stone, Bishop, and Von Neumann are also included. In turn, the book presents the approximation of continuous functions defined on a locally compact space (the functions from a weighted space) and that of continuous differentiable functions defined on ¡n. In closing, it highlights selected approximation theorems in locally convex lattices of (M) type. The book is intended for advanced and graduate students of mathematics, and can also serve as a resource for researchers in the field of the theory of functions.
650 # 0 $a Functional analysis. $3 531838
650 # 0 $a Functions, Continuous. $3 706159
650 # 0 $a Approximation theory. $3 628068
700 1 # $a Paltineanu, Gavriil. $3 3526024